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$31-88$ Proving Identities Verify the identity.$$\frac{(\sin t+\cos t)^{2}}{\sin t \cos t}=2+\sec t \csc t$$
Examine the graph of $f(x)=\sec x$ on the interval $[-\pi, \pi] .$ How can we tell whether the function is even or odd by only observing the graph of $f(x)=\sec x ?$
All of the Pythagorean identities are related. Describe how to manipulate the equations to get from $\sin ^{2} t+\cos ^{2} t=1$ to the other forms.
Use the fundamental identities to fully simplify the expression.$$\sin (-x) \cos (-x) \csc (-x)$$
Use the fundamental identities to fully simplify the expression.$$\csc x+\cos x \cot (-x)$$
Use the fundamental identities to fully simplify the expression.$$3 \sin ^{3} t \csc t+\cos ^{2} t+2 \cos (-t) \cos t$$